Without solving the equation, determine the nature of the root 2x^(2) - 4x + 3 = 0

Question

asked May 25, 2023 164k views

1 Answer

NETQuestion · Answer 1 · 2023-05-30T03:00:40+0000

Explanation:

$2x { }^(2) - 4x +3 = 0$

from the equation,

a = 2

b = -4

c = 3

using the discriminant :

$b {}^(2) - 4ac$ = (-4)² - 4(2)(3)

= 16 - 24

= -8

since the discriminant, b² - 4ac < 0, the equation has no real roots/ has imaginary roots.